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The no. of solutions of dy/dx = (y+1) / (x -1) , y(1) = 2 is
(a)none (b)1 (c) 2 (d)infinite.
Dear Sanchit
dy/dx = (y+1) / (x -1)
dy /(y+1) =dx /(x-1)
ln(y+1) =ln(x-1) + ln c
y+1 =c(x-1)
Given function is not define at x=1
so no solution exits
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dy/dx = (y+1)/(x-1)
dy/(y+1) = dx/(x-1)
Taking Integral on both sides,
ln(y+1) = ln(x-1)+lnC
Y(1)=2,
Clearly at x=1 it does not exist
therefore, no solutions exists.
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